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Finding the Fourth Proportional to 11,490.66, 15,856.29 and 6,454.62

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Solution

The fourth proportional to 11,490.66, 15,856.29 and 6,454.62 is: 8,906.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.66 : 15,856.29 = 6,454.62 : x
  2. Step 2: Convert to fraction form
    11,490.66/15,856.29 = 6,454.62/x
  3. Step 3: Cross multiply
    11,490.66x = 15,856.29 × 6,454.62
  4. Step 4: Simplify right side
    11,490.66x = 102,346,326.56
  5. Step 5: Solve for x
    x = 102,346,326.56/11,490.66
  6. Step 6: Final answer
    x = 8,906.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.